{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## _*Quantum SVM*_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from qiskit.circuit.library import ZZFeatureMap\n",
    "from qiskit.primitives import Sampler\n",
    "\n",
    "from qiskit_machine_learning.datasets import ad_hoc_data\n",
    "from qiskit_machine_learning.algorithms import QSVC\n",
    "from qiskit_machine_learning.kernels import FidelityQuantumKernel\n",
    "from qiskit_algorithms.state_fidelities import ComputeUncompute"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "feature_dim = 2 # dimension of each data point\n",
    "training_dataset_size = 30\n",
    "testing_dataset_size = 10\n",
    "random_seed = 10598\n",
    "shots = 1024\n",
    "\n",
    "train_data, train_labels, test_data, test_labels = ad_hoc_data(\n",
    "    training_size=training_dataset_size,\n",
    "    test_size=testing_dataset_size,\n",
    "    n=feature_dim,\n",
    "    gap=0.3,\n",
    "    plot_data=True,\n",
    "    one_hot=False\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Training set accuracy 1.0; test set accuracy: 1.0\n"
     ]
    }
   ],
   "source": [
    "feature_map = ZZFeatureMap(2)\n",
    "\n",
    "fidelity = ComputeUncompute(sampler=Sampler())\n",
    "new_kernel = FidelityQuantumKernel(feature_map=feature_map, fidelity=fidelity)\n",
    "\n",
    "qsvc = QSVC(quantum_kernel=new_kernel)\n",
    "\n",
    "qsvc.fit(train_data, train_labels)\n",
    "print(f'Training set accuracy {qsvc.score(train_data, train_labels)}; test set accuracy: {qsvc.score(test_data, test_labels)}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "img = plt.imshow(qsvc.quantum_kernel.evaluate(train_data),interpolation='nearest',origin='upper',cmap='bone_r')\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.14"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
